Preheat oven to 375°F (190°C). Grease and lightly flour two 8- or 9-inch round cake pans; set aside.

In a medium bowl, stir together flour, baking powder, and salt.

In a large bowl, beat butter with an electric mixer on medium to high speed for 30 seconds. Add sugar and vanilla; beat until well combined.

Add eggs one at a time, beating well after each addition.

Alternately add flour mixture and milk to the butter mixture, beating on low speed after each addition just until combined.

Pour batter into prepared pans. Bake for 30–35 minutes or until a wooden toothpick inserted near the center comes out clean.

Cool cakes in pans on wire racks for 10 minutes. Remove from pans and cool thoroughly.